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Finding the Fourth Proportional to 3,912.71, 5,865.36 and 1,313.82

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Solution

The fourth proportional to 3,912.71, 5,865.36 and 1,313.82 is: 1,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.71 : 5,865.36 = 1,313.82 : x
  2. Step 2: Convert to fraction form
    3,912.71/5,865.36 = 1,313.82/x
  3. Step 3: Cross multiply
    3,912.71x = 5,865.36 × 1,313.82
  4. Step 4: Simplify right side
    3,912.71x = 7,706,027.28
  5. Step 5: Solve for x
    x = 7,706,027.28/3,912.71
  6. Step 6: Final answer
    x = 1,969.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.